Lexicographic metric spaces: basic properties and the metric dimension

2018/06/28 by Juan A. Rodríguez‐Velázquez, Rodriguez-Velazquez, Juan Alberto
Computer Science · Decision Sciences · #54E35 #54E45 #54E50 #FOS: Mathematics #Fuzzy and Soft Set Theory #Graph Labeling and Dimension Problems #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1806.10908

openalex publication_date 2018/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we introduce the concept of lexicographic metric space and, after discussing some basic properties of these metric spaces, such as completeness, boundedness, compactness and separability, we obtain a formula for the metric dimension of any lexicographic metric space.

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